# How do you write 5^x=25 in log form?

Mar 16, 2018

I tried this:

#### Explanation:

I would use the definition of log:
${\log}_{b} a = x$
so that: ${b}^{x} = a$

In our case we have:
${5}^{x} = 25$
so that we get:
${\log}_{5} \left(25\right) = x$

By the way: $x = 2$

Mar 16, 2018

${\log}_{5}$$25 = x$

#### Explanation:

${5}^{x} = 25$
${5}^{x} = {5}^{2}$
$x = 2$ (By comparing)